Details

Time bar (total: 13.9s)

sample54.0ms

Algorithm
intervals
Results
36.0ms322×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
11.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
31.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series243.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (* z z) (+ z 1.0))
132.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.6s

Counts
59 → 59
Iterations
IterNodes
done5043
22025
1373
0114

prune262.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (* x y) (* z z)) (+ z 1.0))
13.2b
(/ (* x y) (* z z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
26×times-frac
25×*-un-lft-identity
13×add-sqr-sqrt cbrt-undiv div-exp add-cube-cbrt
8×prod-exp cbrt-unprod
7×div-inv
6×distribute-lft-out associate-/l*
5×associate-/r*
2×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 75
Calls
2 calls:
27.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
11.0ms
(/ (* x y) (* z z))

series193.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
58.0ms
(/ (* x y) (* z z))

simplify1.2s

Counts
81 → 81
Iterations
IterNodes
done5104
21937
1424
0142

prune221.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (* (/ x z) (/ y z)) (+ z 1.0))
3.9b
(* (/ x z) (/ y z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
30×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
18×add-cube-cbrt
13×cbrt-undiv div-exp associate-*r* associate-*l*
8×prod-exp cbrt-unprod
4×pow1 associate-/r* unswap-sqr
3×div-inv associate-/l/
2×frac-times associate-*l/ associate-*r/ associate-/r/ insert-posit16 distribute-lft-out add-log-exp
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l*
Counts
2 → 86
Calls
2 calls:
16.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
12.0ms
(* (/ x z) (/ y z))

series90.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
36.0ms
(* (/ x z) (/ y z))

simplify1.8s

Counts
92 → 92
Iterations
IterNodes
done5001
21985
1530
0174

prune397.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (* (* (/ x z) y) (/ 1 z)) (+ z 1.0))
1.2b
(* (* (/ x z) y) (/ 1 z))
3.8b
(* (/ x z) y)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
58×add-cbrt-cube
42×prod-exp
34×div-exp
25×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac
22×cbrt-unprod
20×add-cube-cbrt
18×cbrt-undiv
16×associate-*r*
14×associate-*l*
10×pow1
7×associate-*l/
6×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-/l/
3×insert-posit16 div-inv add-log-exp
2×frac-times associate-*r/ associate-/r/ un-div-inv *-commutative distribute-lft-out unswap-sqr
1×clear-num frac-2neg flip3-+ flip-+ associate-/l*
Counts
3 → 126
Calls
3 calls:
41.0ms
(/ (* (* (/ x z) y) (/ 1 z)) (+ z 1.0))
34.0ms
(* (* (/ x z) y) (/ 1 z))
15.0ms
(* (/ x z) y)

series163.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (* (* (/ x z) y) (/ 1 z)) (+ z 1.0))
45.0ms
(* (* (/ x z) y) (/ 1 z))
37.0ms
(* (/ x z) y)

simplify2.0s

Counts
135 → 135
Iterations
IterNodes
done5005
22183
1620
0217

prune427.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes302.0ms

Accuracy

6.1% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.2b

bsearch115.0ms

Steps
ItersRangePoint
10
2.2994893295573088e+61
3.7299362698038365e+74
1.0635760468403562e+63
4
9.967449148621455e-107
1.7122845733549238e-106
1.6364565299793562e-106

simplify7.0ms

Iterations
IterNodes
done29
129
021

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10750×body80valid